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Batch fermentation
For aerobic cultivation of yeast the cell mass concentration, Xt, and the concentration of the limiting substrate component (glucose), St, has been determined.
Time (min)
0
30
60
90
120
150
180
210
240
Xt (gDCM*/l)
5.0
5.2
6.6
8.4
10.8
13.8
17.7
19.0
20.0
St ( g glu/l)
30.0
29.6
26.8
23.2
18.4
12.4
4.6
2.0
0.0
*Dry Cell Mass
a. Calculate the average cell mass yield factor, YX/S in this fermentation.
b. Calculate the maximum specific growth rate, mMAX, in the logarithmic growth phase.
c. Calculate the volumetric growth rate, dX/dt = rX at time=125 min.
d. Calculate the volumetric substrate utilization rate, rS, and the specific substrate utilization rate, qS, of the yeast at time = 170 min, assuming that the average yield factor can be used to determine rS.
e.Calculate the concentration of left over substrate at time = 130, again assuming that the average yield factor can be used.
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